A travelling harmonic wave is represented by the equation $y (x, t) = 10 - 3 \sin (50 t + 2 x)$ , where ' x and 'y' are in meter and 't' is in seconds. Which of the following is a correct statement about the Wave?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

The wave is propagating along the negative x-axis with speed 25 ms^-1

The wave is propagating along the positive x-axis with speed 25 ms^-1

The wave is propagating along the negative x-axis with speed 100 ms^-1

The wave is propagating along the positive x-axis with speed 100 ms^-1

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Comparing the given equation $y = 10 - 3 \sin (5 t + 2 x)$ with standard equation $y = asin (ωt - kx)$

$\Rightarrow$ wave is moving along - ve x-axis with speed
$v = \frac{ω}{K} \Rightarrow v = \frac{50}{2} = 25 m / \sec$

JEE

NEET

Foundation JEE

Foundation NEET

CBSE